2676666762 has 256 divisors, whose sum is σ = 8269516800. Its totient is φ = 619591680.

The previous prime is 2676666757. The next prime is 2676666787.

2676666762 is nontrivially palindromic in base 10.

2676666762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2676666699 and 2676666708.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1342038 + ... + 1344030.

It is an arithmetic number, because the mean of its divisors is an integer number (32302800).

Almost surely, 2^2676666762 is an apocalyptic number.

2676666762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676666762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134758400).

2676666762 is an abundant number, since it is smaller than the sum of its proper divisors (5592850038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2676666762 is a wasteful number, since it uses less digits than its factorization.

2676666762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 2676666762 is about 51736.5128511770. The cubic root of 2676666762 is about 1388.4538061199.

It can be divided in two parts, 26766 and 66762, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 2676666762 in words is "two billion, six hundred seventy-six million, six hundred sixty-six thousand, seven hundred sixty-two".